Question

question 7 of 10 what is the equation of the given circle? a. (x + 2)^2+(y + 1)^2 = 2 b. (x - 2)^2+(y - 1)^2 = 2 c. (x + 2)^2+(y + 1)^2 = 1 d. (x - 2)^2+(y - 1)^2 = 1

Explanation:

Step1: Identify center of circle

From the graph, the center of the circle is at the point $(2,1)$.

Step2: Identify radius of circle

The radius $r$ is the distance from the center to a point on the circle. By counting the grid - squares, $r = 1$.

Step3: Use standard circle equation

The standard equation of a circle with center $(h,k)$ and radius $r$ is $(x - h)^2+(y - k)^2=r^2$. Here $h = 2$, $k = 1$ and $r = 1$, so the equation is $(x - 2)^2+(y - 1)^2=1$.

Answer:

D. $(x - 2)^2+(y - 1)^2=1$